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Finding the Fourth Proportional to 202.52, 303.02 and 123.08

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Solution

The fourth proportional to 202.52, 303.02 and 123.08 is: 184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 303.02 = 123.08 : x
  2. Step 2: Convert to fraction form
    202.52/303.02 = 123.08/x
  3. Step 3: Cross multiply
    202.52x = 303.02 × 123.08
  4. Step 4: Simplify right side
    202.52x = 37,295.70
  5. Step 5: Solve for x
    x = 37,295.70/202.52
  6. Step 6: Final answer
    x = 184.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.